10122900480 has 880 divisors, whose sum is σ = 45368332416. Its totient is φ = 2096824320.

The previous prime is 10122900479. The next prime is 10122900497. The reversal of 10122900480 is 8400922101.

It is a tau number, because it is divible by the number of its divisors (880).

It is a super-2 number, since 2×10122900480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31933282 + ... + 31933598.

Almost surely, 2^10122900480 is an apocalyptic number.

10122900480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22684166208).

10122900480 is an abundant number, since it is smaller than the sum of its proper divisors (35245431936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10122900480 is a wasteful number, since it uses less digits than its factorization.

10122900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 10122900480 in words is "ten billion, one hundred twenty-two million, nine hundred thousand, four hundred eighty".